#30. At the Farmer's Mart this week, several vendors are selling sweet potatoes. Farmer Joe's potatoes are selling at 5 pounds per bag for $3.50. Farmer Judy sells the same type of potatoes for $0.65 per pound. Farmer Frank's potatoes are $0.75 per pound or a 10- pound bag for $6.75. Farmer Andrew has the large economy box of 20 pounds for $10. You need 8 pounds of potatoes for a dinner you are catering. Who should you shop with for the least cost?

Question

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A
Farmer Joe

B
Farmer Judy

C
Farmer Frank

D
Farmer Rita

E
Farmer Andrew

Answer 1

To determine which farmer has the least cost for 8 pounds of sweet potatoes, let's evaluate the prices from each farmer.

1. Farmer Joe:

   • Price: $3.50 for 5 pounds.
   • Cost per pound = $3.50 / 5 = $0.70 per pound.
   • Cost for 8 pounds = 8 pounds * $0.70/pound = $5.60.

2. Farmer Judy:

   • Price: $0.65 per pound.
   • Cost for 8 pounds = 8 pounds * $0.65/pound = $5.20.

3. Farmer Frank:

   • Price: $0.75 per pound or $6.75 for a 10-pound bag.
   • Cost for 8 pounds at $0.75 per pound = 8 pounds * $0.75/pound = $6.00.
   • Cost for 10 pounds in a bag = $6.75, which is better than buying 8 pounds separately, but since 8 is less than 10, we have to calculate the better option.
   • So, we’ll use the cost for 8 pounds at $0.75/pound = $6.00.

4. Farmer Andrew:

   • Price: $10 for 20 pounds.
   • Cost per pound = $10 / 20 = $0.50 per pound.
   • Cost for 8 pounds = 8 pounds * $0.50/pound = $4.00.

Now let's summarize the costs:

• Farmer Joe: $5.60 for 8 pounds.
• Farmer Judy: $5.20 for 8 pounds.
• Farmer Frank: $6.00 for 8 pounds.
• Farmer Andrew: $4.00 for 8 pounds.

The cheapest option is Farmer Andrew at $4.00 for 8 pounds.

Thus, the correct answer is:

E Farmer Andrew